Prove that if two lines intersect each other, then the vertically opposite angles are equal.

If two lines intersect each other, then prove that the vertically opposite angles are equal.

Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal.

Read the following two statements which are taken as axiom: (i) If two lines intersect each other , then the vertically opposite angles are not equal. (ii) If a ray stands on a line , then the sum of two adjacent angles, so formed is equal to 180^(@) . Is this system of axioms consistent ? Justify your answer.

Prove that vertically opposite angles are equal.

If two lines intersect prove that the vertically opposite angles are equal

If two lines intersect prove that the vertically opposite angles are equal

If two lines intersect at a point, then the vertically opposite angles are always.......

If two lines intersect; then the vertically opposite angles are equal.

Statements a and b are as given below: a : If two lines intersect, then the vertically opposite angles are equal. b : If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180^(@) . Then

Fill in the blanks: If two lines intersect at a point, then the vertically opposite angles are always_____________.